3rd Order ODE on Simulink

I have been trying to solve this differential equation for two days now. I do not know what to do with the right hand side of the ODE. The only way I have seen to solve it does not include the derivative of the input as well. Would really appreaciate some help atleast to know how to start it up.

y^''' (t)+6y^'' (t)+11y^'(t) +6y(t)=u^'' (t)+2u^' (t)+3u(t)

y’’(0) = 1 ; y’(0) = -1; y(0) = 1

where u=Unit step Us(t).

Ive tried to do it in simulink but I cant seem to get the right answer. Ill link what I have tried to do with it. (One of the problems is that we have to have the initital conditions present which we cant do with the transfer function)

[Parveen Ayoubi]

This is the other way but it also doesnt work.

[Pat Gipper]

Could it be something like this? Now you just need to figure out what u'' is that will result in u = unit step. It turns out that it requires a doublet as an input.

Answer 1

[Pat Gipper]

I approximated the required doublet input into an update to my comment with a summation of two very short pulse generators.